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Finding the Fourth Proportional to 78,676.61, 117,930.90 and 31,226

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Solution

The fourth proportional to 78,676.61, 117,930.90 and 31,226 is: 46,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.61 : 117,930.90 = 31,226 : x
  2. Step 2: Convert to fraction form
    78,676.61/117,930.90 = 31,226/x
  3. Step 3: Cross multiply
    78,676.61x = 117,930.90 × 31,226
  4. Step 4: Simplify right side
    78,676.61x = 3,682,510,283.40
  5. Step 5: Solve for x
    x = 3,682,510,283.40/78,676.61
  6. Step 6: Final answer
    x = 46,805.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.